To find which equation is equivalent, we simplify the equations.
3x + 6y – 3z = 6
<span>(3x + 6y – 3z = 6)1/3
</span>x + 2y - z = 2 ------------> not equal
(4x + 12y – 4z = 12)1/4
x + 3y - z = 3<span>------------> equal</span>
(2x + 4y – 2z = 8)1/2
x + 2y - z = 4 ------------> not equal
2x + 3y – 4z = 12 ------------> not equal
Well both a and b are correct because angles 4,6, and 7 are all congruent.
4 and 6 are alternate interior angles, 4 and 7 are corresponding angles, and 6 and 7 are vertical angles all equaling the same degree. so i would go with B only because it backs it up with proof and a is just an observation.
A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:
y = 4x + 1000
assuming y is the income and x is the consumption.
At an income (y) equal to $20,000, we can calculate for the consumption.
20000 = 4x + 1000
19000 = 4x
x = 4750
Answer:
number of laps = 5/2 = 2.5 laps
Explanation:
First, we will need to convert the minutes to seconds.
5 minutes = 5 * 60 = 300 seconds
Now, we know that she can run 1/3 of a lap in 40 seconds. To know the number of laps that she can run in 300 seconds, all we have to do is cross multiplication as follows:
40 seconds .................> 1/3 laps
300 seconds ................> ?? laps
number of laps = (300 * 1/3) / 40
number of laps = (100) / 40
number of laps = 5/2 = 2.5 laps
Hope this helps :)
